Question

Find the area of the figure

Answer 1

A = 252

Explanation:

It's a trapezoid.

The formula of an area of a trapezoid:

`A=(b_1+b_2)/(2)\cdot h`

b₁, b₂ - bases

h - height

(look at the picture)

Use the Pythagorean theorem to calculate the length x:

`x^2+12^2=15^2`

`x^2+144=225` subtract 144 from both sides

`x^2=81\to x=√(81)\\\\x=9`

Substitute:

`b_1=9+12+9=30\\b_2=12\\h=12`

[tex]A=\dfrac{30+12}{2}\cdot12=(42)(6)=252[/txt]